sqrtexp (problem 3.4.4)

Time bar (total: 6.9s)

analyze260.0ms (3.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
56.3%56.2%43.7%0%0%0%0%6
56.3%56.2%43.7%0%0%0%0%7
56.3%56.2%43.7%0%0%0%0%8
57%57%42.9%0%0%0%0%9
57%57%42.9%0%0%0%0%10
57.1%57.1%42.9%0%0%0%0%11
57.2%57.1%42.8%0%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.6s (37.4%)

Results
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
2.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
1.0ms2048valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
60.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
2.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
2.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms2048valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
3.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms2048valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
40.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256infinite
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
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0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
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0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
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0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
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0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
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0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
Bogosity

preprocess393.0ms (5.7%)

Algorithm
egg-herbie
Rules
1224×div-sub
652×associate--r+
614×associate-+l-
566×fma-define
514×associate--l+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1770-0-(-.f64 (exp.f64 (*.f64 2 x)) 1)
1770-0-(-.f64 (exp.f64 x) 1)
10-0-(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
00-0-x
00-0-(exp.f64 x)
00-0-(*.f64 2 x)
00-0-(exp.f64 (*.f64 2 x))
00-0-(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
00-0-2
00-0-1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024144
156136
282136
3128136
422196
540184
680384
7295984
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1))))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (*.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (*.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x))))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1))))
(neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x)))))
(neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x)))))
(neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x)))))
Compiler

Compiled 107 to 79 computations (26.2% saved)

eval1.0ms (0%)

Compiler

Compiled 21 to 16 computations (23.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
99.6%
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 28 to 23 computations (17.9% saved)

localize410.0ms (5.9%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
99.7%
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
36.3%
(-.f64 (exp.f64 (*.f64 2 x)) 1)
36.2%
(-.f64 (exp.f64 x) 1)
100.0%
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
99.7%
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
100.0%
(+.f64 1 (exp.f64 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 86 to 56 computations (34.9% saved)

series18.0ms (0.3%)

Counts
8 → 48
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 (exp.f64 (*.f64 2 x)) 1)
1.0ms
x
@inf
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
1.0ms
x
@0
(sqrt.f64 (+.f64 1 (exp.f64 x)))
1.0ms
x
@-inf
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
1.0ms
x
@inf
(sqrt.f64 (+.f64 1 (exp.f64 x)))

rewrite337.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
1686×prod-diff
996×log1p-expm1-u
994×expm1-log1p-u
126×associate-*r*
102×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021118
1277118
23367118
Stop Event
node limit
Counts
8 → 516
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 (*.f64 2 x)) 1)
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (*.f64 x 2)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(*.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (expm1.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
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(+.f64 (fma.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x)))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (/.f64 1 (expm1.f64 x)))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (/.f64 1 (expm1.f64 x)))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (neg.f64 (/.f64 1 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (expm1.f64 x)))) (sqrt.f64 (/.f64 1 (expm1.f64 x))) (/.f64 1 (expm1.f64 x))))
(+.f64 (fma.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (neg.f64 (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (expm1.f64 (*.f64 x 2)))))) (fma.f64 (neg.f64 (+.f64 1 (exp.f64 x))) (/.f64 1 (expm1.f64 (*.f64 x 2))) (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (expm1.f64 (*.f64 x 2))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (neg.f64 (*.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))) (fma.f64 (neg.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (*.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (neg.f64 (*.f64 (/.f64 1 (expm1.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (expm1.f64 x))) 1 (*.f64 (/.f64 1 (expm1.f64 x)) 1)))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x)))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (/.f64 1 (expm1.f64 x)))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (/.f64 1 (expm1.f64 x)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (neg.f64 (/.f64 1 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (expm1.f64 x)))) (sqrt.f64 (/.f64 1 (expm1.f64 x))) (/.f64 1 (expm1.f64 x))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (neg.f64 (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (expm1.f64 (*.f64 x 2)))))) (fma.f64 (neg.f64 (+.f64 1 (exp.f64 x))) (/.f64 1 (expm1.f64 (*.f64 x 2))) (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (expm1.f64 (*.f64 x 2))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (neg.f64 (*.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))) (fma.f64 (neg.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (*.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)) (neg.f64 (*.f64 (/.f64 1 (expm1.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (expm1.f64 x))) 1 (*.f64 (/.f64 1 (expm1.f64 x)) 1)))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x)))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (/.f64 1 (expm1.f64 x)))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (/.f64 1 (expm1.f64 x)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)) (neg.f64 (/.f64 1 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (expm1.f64 x)))) (sqrt.f64 (/.f64 1 (expm1.f64 x))) (/.f64 1 (expm1.f64 x))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)) (neg.f64 (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (expm1.f64 (*.f64 x 2)))))) (fma.f64 (neg.f64 (+.f64 1 (exp.f64 x))) (/.f64 1 (expm1.f64 (*.f64 x 2))) (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (expm1.f64 (*.f64 x 2))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)) (neg.f64 (*.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))) (fma.f64 (neg.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (*.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (*.f64 x 2)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(*.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

simplify546.0ms (7.9%)

Algorithm
egg-herbie
Rules
902×fma-neg
826×div-sub
676×times-frac
468×associate-*l*
466×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062830401
1137725360
2525620760
Stop Event
node limit
Counts
564 → 395
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
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x
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2
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(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (*.f64 x 2)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(*.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (sqrt.f64 2))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 (pow.f64 x 3) (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 x (+.f64 2 (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 x (+.f64 2 (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (sqrt.f64 2))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 (pow.f64 x 3) (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/6)) (fma.f64 1/2 (pow.f64 x 2) x))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(+.f64 (*.f64 4/3 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(fma.f64 4/3 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (+.f64 x (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 4/3))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 4/3 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 2)))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 2 (+.f64 x (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 4/3)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 x (+.f64 2 (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
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(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))

eval232.0ms (3.3%)

Compiler

Compiled 10487 to 7087 computations (32.4% saved)

prune195.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3923395
Fresh000
Picked213
Done000
Total3944398
Accuracy
100.0%
Counts
398 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
69.2%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
74.5%
(sqrt.f64 2)
Compiler

Compiled 24 to 21 computations (12.5% saved)

localize148.0ms (2.1%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (+.f64 1 (exp.f64 x)))
100.0%
(+.f64 1 (exp.f64 x))
100.0%
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
99.0%
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
100.0%
(sqrt.f64 (+.f64 2 x))
Compiler

Compiled 44 to 31 computations (29.5% saved)

series10.0ms (0.1%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
1.0ms
x
@-inf
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
1.0ms
x
@inf
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
1.0ms
x
@0
(sqrt.f64 (+.f64 2 x))
1.0ms
x
@0
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))

rewrite111.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
852×log1p-expm1-u
852×expm1-log1p-u
804×log-prod
432×fma-define
364×pow-to-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01588
120472
2256872
Stop Event
node limit
Counts
4 → 150
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
Outputs
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) -1)
(neg.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1/2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 1))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 2)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) -1)
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 -1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (neg.f64 (log1p.f64 (exp.f64 x)))) 2))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1/2))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) -1)
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(neg.f64 (/.f64 -1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))

simplify278.0ms (4%)

Algorithm
egg-herbie
Rules
1490×fma-define
1118×times-frac
768×fma-neg
538×associate-*r/
472×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04044448
18194316
221714244
375654240
Stop Event
node limit
Counts
174 → 206
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))))) (sqrt.f64 1/2))))))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3)))))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) -1)
(neg.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1/2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 1))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 2)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) -1)
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 -1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (neg.f64 (log1p.f64 (exp.f64 x)))) 2))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1/2))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) -1)
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(neg.f64 (/.f64 -1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 1/16 (pow.f64 x 3)) (pow.f64 (sqrt.f64 2) 5)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (sqrt.f64 2))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 (pow.f64 x 2) (/.f64 3/16 (sqrt.f64 2)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (sqrt.f64 2)) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2)))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) (/.f64 3/8 (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (fma.f64 (pow.f64 x 3) (/.f64 7/192 (sqrt.f64 2)) (sqrt.f64 2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 -1/64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))))
(fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/48 (*.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))))) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 1/2 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 1/48 (/.f64 1/512 (pow.f64 (sqrt.f64 1/2) 4))) (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (fma.f64 1/2 (*.f64 (pow.f64 x 3) (/.f64 (+.f64 1/48 (/.f64 -1/512 (pow.f64 (sqrt.f64 1/2) 4))) (sqrt.f64 1/2))) (*.f64 -1/64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (fma.f64 1/2 (*.f64 (+.f64 1/48 (/.f64 -1/512 (pow.f64 (sqrt.f64 1/2) 4))) (/.f64 (pow.f64 x 3) (sqrt.f64 1/2))) (*.f64 -1/64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)))))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (*.f64 x -1/4))
(fma.f64 x -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (fma.f64 -1/4 x (*.f64 (pow.f64 x 3) 1/48)))
(+.f64 (fma.f64 x -1/4 1/2) (*.f64 (pow.f64 x 3) 1/48))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) 1/48 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3)))))
(+.f64 1/2 (fma.f64 -1/4 x (fma.f64 -1/480 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/48))))
(+.f64 (fma.f64 x -1/4 1/2) (fma.f64 (pow.f64 x 3) 1/48 (*.f64 -1/480 (pow.f64 x 5))))
(+.f64 1/2 (fma.f64 (pow.f64 x 3) 1/48 (fma.f64 x -1/4 (*.f64 -1/480 (pow.f64 x 5)))))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4)))
(pow.f64 (+.f64 2 x) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(sqrt.f64 (+.f64 2 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(sqrt.f64 (+.f64 2 x))
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (/.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))) -1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(neg.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) -1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 1/3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 0 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) 1)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (log.f64 (exp.f64 1)))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 1))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 1))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (pow.f64 (exp.f64 -1/3) (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (pow.f64 (exp.f64 -1/3) (log1p.f64 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) -1)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 -1 (exp.f64 x))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1/2)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 1)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 3)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) 2)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) -1)
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3/2))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) -1))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 -1/2 (log1p.f64 (exp.f64 x)))) 3))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 3/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 1/4 (neg.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1/2))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (*.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2) 1/2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3) 1/3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) -1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(neg.f64 (/.f64 -1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))) 3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 x))) 1/2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(/.f64 1 (+.f64 1 (exp.f64 x)))

eval109.0ms (1.6%)

Compiler

Compiled 5000 to 3895 computations (22.1% saved)

prune46.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3153318
Fresh000
Picked123
Done011
Total3166322
Accuracy
100.0%
Counts
322 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
70.3%
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
73.4%
(/.f64 1 (sqrt.f64 1/2))
69.2%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
74.5%
(sqrt.f64 2)
Compiler

Compiled 37 to 33 computations (10.8% saved)

localize100.0ms (1.4%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (+.f64 1 (exp.f64 x)))
100.0%
(+.f64 1 (exp.f64 x))
100.0%
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))
98.8%
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
98.4%
(/.f64 1 (sqrt.f64 1/2))
Compiler

Compiled 59 to 46 computations (22% saved)

series17.0ms (0.3%)

Counts
3 → 8
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@inf
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))
1.0ms
x
@0
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
1.0ms
x
@inf
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
1.0ms
x
@0
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))
1.0ms
x
@-inf
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))

rewrite103.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1450×unpow-prod-down
737×log1p-expm1-u
737×expm1-log1p-u
732×log-prod
312×pow-to-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01557
117539
2214539
Stop Event
node limit
Counts
3 → 171
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 1/2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1/2 (*.f64 x -1/4)))
Outputs
(+.f64 0 (sqrt.f64 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2))) (cbrt.f64 (exp.f64 (sqrt.f64 2))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 (sqrt.f64 2) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (sqrt.f64 1/2))) 1))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 2 1/3))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) 2))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) 1) -1))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 (/.f64 (pow.f64 1/2 1/4) 1) -1))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 2))) 3))
(*.f64 (pow.f64 2 1/3) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2))) 1/3) (pow.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) 2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) 2)) 1/3))
(*.f64 (pow.f64 (*.f64 2 (cbrt.f64 2)) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 2)) 1/3))
(*.f64 (pow.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 2))) 1/3) (pow.f64 (sqrt.f64 (sqrt.f64 2)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) 2))
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (*.f64 (sqrt.f64 2) 2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 1/2))) -1)
(neg.f64 (/.f64 -1 (sqrt.f64 1/2)))
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (sqrt.f64 2) 2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(exp.f64 (*.f64 (log.f64 1/2) -1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 2))) 2))
(+.f64 0 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) (pow.f64 1 -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (pow.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) 1/3))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1) -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2)) 2))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1) -1))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (sqrt.f64 (fma.f64 x -1/4 1/2))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1/2) (pow.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (fma.f64 x -1/4 1/2))) -1/2))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8) -1/2) (pow.f64 (/.f64 1 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)) -1/2))
(*.f64 (pow.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16)) -1/2) (pow.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/4 x))) -1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) -1/2) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2))) -1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) 1/2) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1/2) -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) -1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 3))
(*.f64 (pow.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2)) 1/3) (pow.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) 1/3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2)) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2)))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2)) 2) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2)) 2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) -1)
(neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))) 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 1/2)) -1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 3))
(exp.f64 (*.f64 (*.f64 3 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2)))) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 2))
(+.f64 0 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1) 1))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (pow.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (sqrt.f64 (fma.f64 x -1/4 1/2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (fma.f64 x -1/4 1/2))) 1/2))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8) 1/2) (pow.f64 (/.f64 1 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)) 1/2))
(*.f64 (pow.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16)) 1/2) (pow.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/4 x))) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 1/2) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) 1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (sqrt.f64 (fma.f64 x -1/4 1/2))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)) 1/3))
(*.f64 (pow.f64 (*.f64 (fma.f64 x -1/4 1/2) (cbrt.f64 (fma.f64 x -1/4 1/2))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1/3))
(*.f64 (pow.f64 (*.f64 (fma.f64 x -1/4 1/2) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 1/3) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 2))
(/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(/.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1)
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (sqrt.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)))
(pow.f64 (fma.f64 x -1/4 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) -1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x -1/4 1/2))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x -1/4 1/2))) 2))

simplify143.0ms (2.1%)

Algorithm
egg-herbie
Rules
1056×exp-prod
992×fma-neg
526×associate-/l*
486×associate-*r/
476×fabs-mul
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04745128
18944863
225344739
357754582
Stop Event
node limit
Counts
179 → 248
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/4 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))
(+.f64 0 (sqrt.f64 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2))) (cbrt.f64 (exp.f64 (sqrt.f64 2))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 (sqrt.f64 2) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (sqrt.f64 1/2))) 1))
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(/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(/.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1)
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (sqrt.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)))
(pow.f64 (fma.f64 x -1/4 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) -1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x -1/4 1/2))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x -1/4 1/2))) 2))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 (pow.f64 x 2) 3/8))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/4 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 (pow.f64 x 3) (/.f64 (+.f64 1/4 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 5/32 (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))))
(+.f64 (*.f64 (pow.f64 x 2) (/.f64 3/16 (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 (pow.f64 x 3) 5/32)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 -1/64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))))
(fma.f64 x (/.f64 -1/8 (sqrt.f64 1/2)) (fma.f64 -1/64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)) (/.f64 (*.f64 -1/1024 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 x (sqrt.f64 1/2)) (fma.f64 -1/1024 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 -1/64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))))))
(+.f64 0 (sqrt.f64 2))
(sqrt.f64 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2))) (cbrt.f64 (exp.f64 (sqrt.f64 2))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) (log.f64 (exp.f64 1)))
(sqrt.f64 2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(/.f64 1 (sqrt.f64 1/2))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (sqrt.f64 1/2))) 1))
(/.f64 1 (sqrt.f64 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 2 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) 1) -1))
(*.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 (/.f64 (pow.f64 1/2 1/4) 1) -1))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 1 (pow.f64 1/2 1/4)))
(/.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 1/2 1/4))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) 3))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) 3))
(sqrt.f64 2)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) 3))
(sqrt.f64 2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 2))) 3))
(sqrt.f64 2)
(*.f64 (pow.f64 2 1/3) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2))) 1/3) (pow.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2))) 1/3))
(sqrt.f64 2)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) 2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) 2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 2)))))
(*.f64 (pow.f64 (*.f64 2 (cbrt.f64 2)) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (cbrt.f64 2))))
(*.f64 (pow.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 2))) 1/3) (pow.f64 (sqrt.f64 (sqrt.f64 2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 2))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) 2))
(sqrt.f64 2)
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(/.f64 1 (sqrt.f64 1/2))
(pow.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(sqrt.f64 2)
(pow.f64 (*.f64 (sqrt.f64 2) 2) 1/3)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(sqrt.f64 2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 1/2))) -1)
(/.f64 1 (sqrt.f64 1/2))
(neg.f64 (/.f64 -1 (sqrt.f64 1/2)))
(/.f64 1 (sqrt.f64 1/2))
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(cbrt.f64 (*.f64 (sqrt.f64 2) 2))
(sqrt.f64 2)
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (log.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) -1))
(/.f64 1 (sqrt.f64 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 1/2) -1/2))
(pow.f64 1/2 -1/2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) 3))
(sqrt.f64 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 2))) 1/3))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 2))) 2))
(sqrt.f64 2)
(+.f64 0 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) (log.f64 (exp.f64 1)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) (pow.f64 1 -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (pow.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) 1/3))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1) -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 1 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 1 (*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (/.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)))
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) (sqrt.f64 (fma.f64 x -1/4 1/2))) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 4) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) -1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1/2) (pow.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) (sqrt.f64 (fma.f64 x -1/4 1/2))) -1/2))
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(*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16))) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 x 1/4)))))
(*.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) -1/16))) (sqrt.f64 (/.f64 1 (fma.f64 x 1/4 1/2))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 1/2) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1/2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1/2))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 1/2) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 3/2)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 3))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x -1/4 1/2)))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (sqrt.f64 (fma.f64 x -1/4 1/2))) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 1/3))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))))
(*.f64 (pow.f64 (*.f64 (fma.f64 x -1/4 1/2) (cbrt.f64 (fma.f64 x -1/4 1/2))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) (cbrt.f64 (*.f64 (fma.f64 x -1/4 1/2) (cbrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (pow.f64 (*.f64 (fma.f64 x -1/4 1/2) (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 1/3) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (cbrt.f64 (*.f64 (fma.f64 x -1/4 1/2) (pow.f64 (fma.f64 x -1/4 1/2) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 5/4)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/4 1/2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 2))
(*.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4)) 2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16))) (sqrt.f64 (+.f64 1/2 (*.f64 x 1/4))))
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) -1/16))) (sqrt.f64 (fma.f64 x 1/4 1/2)))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8)) (sqrt.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)))
(pow.f64 (fma.f64 x -1/4 1/2) 1/2)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) 1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) -1)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 3)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) 1/3)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) 2)
(sqrt.f64 (fma.f64 x -1/4 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/4 1/2)) 1/2))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) 1))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))) 3))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x -1/4 1/2))) 1/3))
(sqrt.f64 (fma.f64 x -1/4 1/2))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x -1/4 1/2))) 2))
(sqrt.f64 (fma.f64 x -1/4 1/2))

eval180.0ms (2.6%)

Compiler

Compiled 6566 to 5443 computations (17.1% saved)

prune56.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4161417
Fresh000
Picked123
Done033
Total4176423
Accuracy
100.0%
Counts
423 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
71.4%
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
73.4%
(/.f64 1 (sqrt.f64 1/2))
69.2%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
74.5%
(sqrt.f64 2)
Compiler

Compiled 36 to 32 computations (11.1% saved)

localize44.0ms (0.6%)

Compiler

Compiled 21 to 17 computations (19% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
71.4%
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
73.4%
(/.f64 1 (sqrt.f64 1/2))
69.2%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
74.5%
(sqrt.f64 2)
Compiler

Compiled 104 to 87 computations (16.3% saved)

regimes11.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
Calls

3 calls:

5.0ms
x
2.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
2.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
100.0%1(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes8.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Accuracy

Total -4.7b remaining (-28.5%)

Threshold costs -4.7b (-28.5%)

Counts
5 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
Outputs
(sqrt.f64 2)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
74.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01549
12149
Stop Event
done
saturated
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Outputs
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Compiler

Compiled 18 to 16 computations (11.1% saved)

soundness535.0ms (7.7%)

Rules
1686×prod-diff
1224×div-sub
996×log1p-expm1-u
994×expm1-log1p-u
852×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024144
156136
282136
3128136
422196
540184
680384
7295984
021118
1277118
23367118
01588
120472
2256872
Stop Event
node limit
node limit
node limit
Compiler

Compiled 314 to 223 computations (29% saved)

end0.0ms (0%)

preprocess32.0ms (0.5%)

Compiler

Compiled 58 to 48 computations (17.2% saved)

Profiling

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